Chapter 2.1, Problem 5E

Interpretation Introduction

Interpretation:

The mechanical system which can be governed by the equation $\dot{\text{x}}\text{=sinx}$ is to be found. Justify using intuition that the given mechanical system is stable and unstable at the given points.

Concept Introduction:

The equation given in the problem is a nonlinear differential equation.

The given equation should predict the behavior of the selected mechanical system.

The value of $\dot{x}$ would be zero at $x=0$ and at $x=\pi$ for the given mechanical system, as seen from the equation.